Inbreeding of tropical wasps. Refer to the Science study of inbreeding in tropical swarm-f...

Inbreeding of tropical wasps. Refer to the Science study of inbreeding in tropical swarm-founding wasps, presented in Exercise. A sample of 197 wasps, captured, frozen, and subjected to a series of genetic tests, yielded a sample mean inbreeding coefficient of  with a standard deviation of s =.884. Recall that if the wasp has no tendency to inbreed, the true mean inbreeding coefficient μ for the species will equal 0.

a. Test the hypothesis that the true mean inbreeding coefficient m for this species of wasp exceeds 0. Use α =.05.

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b. Compare the inference you made in part a with the inference you obtained in Exercise, using a confidence interval. Do the inferences agree? Explain.

Inbreeding of tropical wasps. Tropical swarm-founding wasps rely on female workers to raise their offspring. One possible explanation for this strange behavior is inbreeding, which increases relatedness among the wasps, presumably making it easier for the workers to pick out their closest relatives as propagators of their own genetic material. To test this theory, 197 swarm-founding wasps were captured in Venezuela, frozen at −70°C, and then subjected to a series of genetic tests. The data were used to generate an inbreeding coefficient x for each wasp specimen, with the following results:  and s = .884.

a. Construct a 99% confidence interval for the mean inbreeding coefficient of this species of wasp.

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b. A coefficient of 0 implies that the wasp has no tendency to inbreed. Use the confidence interval you constructed in part a to make an inference about the tendency for this species of wasp to inbreed.